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Finding the Fourth Proportional to 431.63, 647.29 and 200.48

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Solution

The fourth proportional to 431.63, 647.29 and 200.48 is: 300.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.63 : 647.29 = 200.48 : x
  2. Step 2: Convert to fraction form
    431.63/647.29 = 200.48/x
  3. Step 3: Cross multiply
    431.63x = 647.29 × 200.48
  4. Step 4: Simplify right side
    431.63x = 129,765.71
  5. Step 5: Solve for x
    x = 129,765.71/431.63
  6. Step 6: Final answer
    x = 300.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.